Solve the system of equations by using substitution:

\[
3x + 2y = 7
\]

\[
x - 4y = -21
\]

{ x − 4 y = − 21 3 x + 2 y = 7 ∣ ∗ 2 ​ { x − 4 y = − 21 6 x + 4 y = 14 ​ + − − − − A dd i t i o n 7 x = 14 − 21 7 x = − 7 ∣ d i v i d e b y 7 x = − 1 2 y = 7 − 3 x y = 2 7 − 3 x ​ = 2 7 + 3 ​ = 5 S o l u t i o n { x = − 1 y = 5 ​

Answered by luana | 2024-06-10

3x + 2y = 7 x - 4y = - 21
6x + 4y = 14 x - 4y = - 21
6x + x = 14 - 21 7x = - 7 x = - 7 /7 x = - 1
y = (7 - 3x)/2 y = (7 - 3 x (- 1))/2 y = (7 - (- 3))/2 y = (7 + 3)/2 y = 10/2 y = 5
Ans : x = - 1 ** y = 5**

Answered by eah | 2024-06-10

To solve the system of equations using substitution, we first express one variable in terms of another and substitute it into the other equation. After solving the equations step-by-step, we find the solution to be ( x , y ) = ( − 1 , 5 ) . This method efficiently provides us with the values of both variables.
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Answered by luana | 2024-09-26